Where strategic and evolutionary stability depart - a study of minimal diversity games
A minimal diversity game is an n player strategic form game in which each player has m pure strategies at his disposal. The payoff to each player is always 1, unless all players select the same pure strategy, in which case all players receive zero payoff. Such a game has a unique isolated completely mixed Nash equilibrium in which each player plays each strategy with equal probability, and a connected component of Nash equilibria consisting of those strategy profiles in which each player receives payoff 1. The Pareto superior component is shown to be asymptotically stable under a wide class of evolutionary dynamics, while the isolated equilibrium is not. On the other hand, the isolated equilibrium is strategically stable, while the strategic stability of the Pareto efficient component depends on the dimension of the component, and hence on the number of players, and the number of pure strategies.
|Date of creation:||2010|
|Date of revision:|
|Contact details of provider:|| Postal: Streatham Court, Rennes Drive, Exeter EX4 4PU|
Phone: (01392) 263218
Fax: (01392) 263242
Web page: http://business-school.exeter.ac.uk/about/departments/economics/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Sergiu Hart, 2006.
"Discrete Colonel Blotto and General Lotto Games,"
Discussion Paper Series
dp434, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Jeroen M. Swinkels, 1991.
"Adjustment Dynamics and Rational Play in Games,"
1001, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Balkenborg, Dieter & Schlag, Karl H., 2007. "On the evolutionary selection of sets of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 133(1), pages 295-315, March.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- DeMichelis, Stefano & Germano, Fabrizio, 2000.
"On the Indices of Zeros of Nash Fields,"
Journal of Economic Theory,
Elsevier, vol. 94(2), pages 192-217, October.
- DE MICHELIS, Stefano & GERMANO, Fabrizio, 2000. "On the indices of zeros of nash fields," CORE Discussion Papers 2000017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- DEMICHELIS, Stefano & GERMANO, Fabrizio, . "On the indices of zeros of Nash fields," CORE Discussion Papers RP 1531, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Demichelis, Stefano & Ritzberger, Klaus, 2003.
"From evolutionary to strategic stability,"
Journal of Economic Theory,
Elsevier, vol. 113(1), pages 51-75, November.
- Guth, Werner & Huck, Steffen & Muller, Wieland, 2001. "The Relevance of Equal Splits in Ultimatum Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 161-169, October.
- E. Kohlberg & J.-F. Mertens, 1998.
"On the Strategic Stability of Equilibria,"
Levine's Working Paper Archive
445, David K. Levine.
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
- Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 207-36.
When requesting a correction, please mention this item's handle: RePEc:exe:wpaper:1001. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carlos Cortinhas)
If references are entirely missing, you can add them using this form.